摘要
研究了生殖器疣在无标度网络上的传播,建立了SEI_1I_2R模型.首先得出无限维无标度网络中的传播阈值为零的结论.然后证明了无病平衡点的稳定性与疾病的一直持续生存性.接着讨论了两种免疫策略:比例免疫与目标免疫.目标免疫的效果要好于比例免疫.
This paper studies a SEI_1I_2R model on scale-free network base on the spread process of genital warts.First,we get that the epidemic threshold is to be zero in an infinite scale-free network.Next,the stability of disease-free equilibrium and the persistence of genital warts infection are proved.After that,we discuss two immunization strategies:proportional immunization strategy and targeted immunization strategy.The targeted strategy is more efficient.Finally we find condom using has positive effect to control the spread of genital warts on scale-free network.
出处
《生物数学学报》
2014年第2期361-369,共9页
Journal of Biomathematics
基金
国家自然科学基金(11271246)
加拿大国际发展计划(104519-010)
关键词
生殖器疣
无标度网络
传播阈值
免疫策略
Genital warts
Scale-free network
Epidemic threshold
Immunization strategy
